Asymptotical stability analysis of Riemann‐Liouville q ‐fractional neutral systems with mixed delays

2019 ◽  
Vol 42 (14) ◽  
pp. 4876-4888 ◽  
Author(s):  
Wengui Yang ◽  
Ahmed Alsaedi ◽  
Tasawar Hayat ◽  
Habib M. Fardoun
Keyword(s):  
Stability Analysis ◽  
Asymptotical Stability ◽  
Mixed Delays ◽  
Neutral Systems ◽  
Fractional Neutral Systems

scholarly journals Stability analysis for neutral systems with mixed delays

2007 ◽  
Vol 202 (2) ◽  
pp. 478-497 ◽  
Author(s):  
Xin-Ge Liu ◽  
Min Wu ◽  
Ralph Martin ◽  
Mei-Lan Tang
Keyword(s):  
Stability Analysis ◽  
Mixed Delays ◽  
Neutral Systems

scholarly journals Stability analysis of neutral systems with mixed delays

Automatica ◽  
2008 ◽  
Vol 44 (11) ◽  
pp. 2968-2972 ◽  
Author(s):  
Xu-Guang Li ◽  
Xin-Jian Zhu ◽  
Arben Cela ◽  
Abdellatif Reama
Keyword(s):  
Stability Analysis ◽  
Mixed Delays ◽  
Neutral Systems

scholarly journals Asymptotical stability of Riemann–Liouville fractional neutral systems

2017 ◽  
Vol 69 ◽  
pp. 168-173 ◽  
Author(s):  
Song Liu ◽  
Xiang Wu ◽  
Yan-Jie Zhang ◽  
Ran Yang
Keyword(s):  
Asymptotical Stability ◽  
Neutral Systems ◽  
Fractional Neutral Systems

A new result on stability analysis for stochastic neutral systems

Automatica ◽  
2010 ◽  
Vol 46 (12) ◽  
pp. 2100-2104 ◽  
Author(s):  
Yun Chen ◽  
Wei Xing Zheng ◽  
Anke Xue
Keyword(s):  
Stability Analysis ◽  
Neutral Systems

scholarly journals Stability Analysis for Markovian Jump Neutral Systems with Mixed Delays and Partially Known Transition Rates

2012 ◽  
Vol 2012 ◽  
pp. 1-22 ◽  
Author(s):  
Lianglin Xiong ◽  
Xiaobing Zhou ◽  
Jie Qiu ◽  
Jing Lei
Keyword(s):  
Partial Information ◽  
Transition Probabilities ◽  
Mixed Delays ◽  
Transition Rates ◽  
Neutral Systems ◽  
Markovian Jump ◽  
Markovian Jump System ◽  
Analysis Technique ◽  
Transition Rate Matrix ◽  
Delay Dependent

The delay-dependent stability problem is studied for Markovian jump neutral systems with partial information on transition probabilities, and the considered delays are mixed and model dependent. By constructing the new stochastic Lyapunov-Krasovskii functional, which combined the introduced free matrices with the analysis technique of matrix inequalities, a sufficient condition for the systems with fully known transition rates is firstly established. Then, making full use of the transition rate matrix, the results are obtained for the other case, and the uncertain neutral Markovian jump system with incomplete transition rates is also considered. Finally, to show the validity of the obtained results, three numerical examples are provided.

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